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Simplifying 74 + (-40) = 40 + 2w + (-40) 74 + -40 = 40 + 2w + (-40) Combine like terms: 74 + -40 = 34 34 = 40 + 2w + (-40) 34 = 40 + 2w + -40 Reorder the terms: 34 = 40 + -40 + 2w Combine like terms: 40 + -40 = 0 34 = 0 + 2w 34 = 2w Solving 34 = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 34 + -2w = 2w + -2w Combine like terms: 2w + -2w = 0 34 + -2w = 0 Add '-34' to each side of the equation. 34 + -34 + -2w = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -2w = 0 + -34 -2w = 0 + -34 Combine like terms: 0 + -34 = -34 -2w = -34 Divide each side by '-2'. w = 17 Simplifying w = 17
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